Consider the matrix A == ((1, 2, 5)|(4, 6, 7)|(1, 5, 1)) and the row vector v = > A = ((1, 2, 5)| (4, 6, 7)|(1, 5, 1)); v = [1, 2, 2] A := 1 4 1 265 5 7 1 v := [1, 2, 2] 1. Is the vector v a linear combination of the rows of the matrix A? [1, 2, 2].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q31.

 

Part (b)
Consider the matrix A :=
((1, 2, 5)| (4, 6, 7)|(1, 5, 1)) and the row vector v := [1, 2, 2].
> A = ((1, 2, 5)| (4, 6, 7)|(1, 5, 1));
v := [1, 2, 2]
A :=
1 4 1
265
5 7 1
v := [1, 2, 2]
1. Is the vector v a linear combination of the rows of the matrix A?
2. Plot the rows of the matrix A as vectors in the set of triples of real number R^3.
Transcribed Image Text:Part (b) Consider the matrix A := ((1, 2, 5)| (4, 6, 7)|(1, 5, 1)) and the row vector v := [1, 2, 2]. > A = ((1, 2, 5)| (4, 6, 7)|(1, 5, 1)); v := [1, 2, 2] A := 1 4 1 265 5 7 1 v := [1, 2, 2] 1. Is the vector v a linear combination of the rows of the matrix A? 2. Plot the rows of the matrix A as vectors in the set of triples of real number R^3.
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